42770

Appears in sequences

• Row 3 of A007754.at n=33A058794
• a(n) = n^3 - 3*n.at n=35A121670
• Binomial transform of [1, 7, 17, 17, 6, 0, 0, 0, ...].at n=19A132117
• Number of 0..3 arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo 4.at n=10A200464
• Expansion of (4 + 15*x - 35*x^2 + 20*x^3 - 2*x^5)/(1 - x)^5.at n=22A257600
• a(n) = (n^4 + 20*n^3 + 125*n^2 + 250*n + 24)/12.at n=22A257601
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n-1), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A296289
• Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x*T_{m-1}(x) - T_{m-2}(x), m >= 2, T_0(x) = 2, T_1(x) = x (dilated Chebyshev polynomials of the first kind).at n=36A299071
• Coefficient of x^n in the expansion of 1 / (1-x-x^2)^(2*n).at n=6A370617
• Even numbers m such that the sum of the squares of the odd divisors and the sum of the squares of even divisors of m are both squares.at n=6A380742